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31401000100 = 2252535924717
BaseRepresentation
bin11101001111101001…
…010011110010100100
310000001101112002012201
4131033221103302210
51003302124000400
622231520224244
72161101045151
oct351751236244
9100041462181
1031401000100
1112354056158
12610416b084
132c65703b42
14173c53b228
15c3bb1a06a
hex74fa53ca4

31401000100 has 36 divisors (see below), whose sum is σ = 69425845524. Its totient is φ = 12323409280.

The previous prime is 31401000053. The next prime is 31401000179. The reversal of 31401000100 is 100010413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3843008064 + 27557992036 = 61992^2 + 166006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2957059 + ... + 2967658.

It is an arithmetic number, because the mean of its divisors is an integer number (1928495709).

Almost surely, 231401000100 is an apocalyptic number.

It is an amenable number.

31401000100 is an abundant number, since it is smaller than the sum of its proper divisors (38024845424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31401000100 is a wasteful number, since it uses less digits than its factorization.

31401000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924784 (or 5924777 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31401000100 its reverse (100010413), we get a palindrome (31501010513).

The spelling of 31401000100 in words is "thirty-one billion, four hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 5924717 11849434 23698868 29623585 59247170 118494340 148117925 296235850 314010001 592471700 628020002 1256040004 1570050005 3140100010 6280200020 7850250025 15700500050 31401000100